In addition to the moire lattice constant \(L\)  set by interatomic distance \(a\)  and the twist angle \(\theta \) , the combination of the intra-layer elastic energy \(U_E\)  and the inter-layer adhesion potential \(U_B\)  introduces another characteristic length scale \(l = a\sqrt{\frac{\mathcal {G} + \mathcal {K}}{c_1}}\)  [1]}. If \(L \gg l\) , the inter-layer adhesion dominates over the intra-layer elastic energy and the relaxation maximizes the AB/BA stacking region while minimizing the AA stacking regions. As a consequence, the system breaks up into triangular domains of AB/BA stacking separated by domain walls [2]}. On the other hand, if \(L \ll l\)  then the lattice relaxation is weak and the structure is close to the one with rigid twist only. In this case the size of AB/BA and AA stacking regions is about the same.
